x²- 49=0

what is the answer is for my exam? Thanks to the one who helps me has 10 points​

To obtain an expression for g(s) unit step function is:

a)

b)

c)

(a) To obtain an expression for g(s) given g(t) = [su(0)]^2 - u(t), we can start by replacing t with s in the given expression for g(t):

g(s) = [su(0)]^2 - u(s)

Here, u(s) is the unit step function, which is equal to 1 for s > 0 and 0 for s < 0. Therefore, we can simplify the expression for g(s) as follows:

For s ≥ 0: g(s) = [su(0)]^2 - u(s) = s^2 - 1

For s < 0: g(s) = [su(0)]^2 - u(s) = 0 - 0 = 0

Therefore, the expression for g(s) is:

g(s) = s^2 - 1, for s ≥ 0

g(s) = 0, for s < 0

(b) To obtain an expression for g(s) given g(t) = 2u(t) - 2u(t - 2), we can start by replacing t with s in the given expression for g(t):

g(s) = 2u(s) - 2u(s - 2)

Here, u(s) and u(s-2) are both unit step functions, which are equal to 1 for s > 0 and 0 for s < 0. Therefore, we can simplify the expression for g(s) as follows:

For s < 0: g(s) = 0 - 0 = 0

For 0 ≤ s < 2: g(s) = 2u(s) - 0 = 2

For s ≥ 2: g(s) = 2u(s) - 2u(s - 2) = 2 - 2 = 0

Therefore, the expression for g(s) is:

g(s) = 2, for 0 ≤ s < 2

g(s) = 0, for s < 0 or s ≥ 2

(c) To obtain an expression for g(s) given g(t) = tu(2t), we can start by replacing t with s/2 in the given expression for g(t):

g(s) = (s/2)u(s)

Here, u(s) is the unit step function, which is equal to 1 for s > 0 and 0 for s < 0. Therefore, we can simplify the expression for g(s) as follows:

For s ≤ 0: g(s) = (s/2)u(s) = 0

For s > 0: g(s) = (s/2)u(s) = (s/2)

Therefore, the expression for g(s) is:

g(s) = (s/2), for s > 0

g(s) = 0, for s ≤ 0

Learn more about unit step function

brainly.com/question/29803180

#SPJ11

(a)  \(g(s) = [su(0)]^2/s - 1/s\)

(b) \(g(s) = 2/s - 2 * e^(-2s) / s\)

(c) \(g(s) = -1 / (2s^2)\)

(a) \(g(t) = [su(0)]^2 - u(t):\)

To obtain g(s), use Laplace transform of g(t) with respect to t. Recall that the Laplace transform of u(t) is 1/s, and the Laplace transform of \(t*u(t)\) is \(1/s^2\). Therefore, we have:

\(g(s) = L{[su(0)]^2 - u(t)} = [su(0)]^2 * L{1} - L{u(t)} = [su(0)]^2 * 1/s - 1/s\)

So the expression for g(s) is:

\(g(s) = [su(0)]^2/s - 1/s\)

(b) g(t) = 2u(t) - 2u(t - 2):

Using the properties of the Laplace transform, we have:

\(g(s) = L{2u(t) - 2u(t - 2)} = 2 * L{u(t)} - 2 * L{u(t - 2)} = 2/s - 2 * e^(-2s) / s\)

So the expression for g(s) is:

\(g(s) = 2/s - 2 * e^(-2s) / s\)

(c) g(t) = tu(2t):

Applying the properties of the Laplace transform, we have:

\(g(s) = L{tu(2t)} = -d/ds (L{u(2t)}) = -d/ds (1 / (2s)) = -1 / (2s^2)\)

So the expression for g(s) is:

\(g(s) = -1 / (2s^2)\)

Learn more about Laplace transform

brainly.com/question/31481915

#SPJ11

you are pig and all picture are you

Answer:

-3/10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-(-9))/(-3-7)

m=(-6+9)/-10

m=3/-10

m=-3/10

Answer:

(-5/8, 13/4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define systems

2x + 5y = 15

8x + 4y = 8

Step 2: Rewrite systems

8x + 4y = 8

Step 3: Redefine systems

2x + 5y = 15

y = 2 - 2x

Step 4: Solve for x

Substitution

Step 5: Solve for y

Step 6: Graph systems

Check the solution set.

The solution set is equivalent (is in decimal form).

Answer:

10

Step-by-step explanation:

50 * 20%

50 * 0.2 = 10

Answer:

2n+3n=5n = -41-9= 50

5n=50

n = 10

Answer:

152

Step-by-step explanation:

46+56=102

102+3=105

105+17+130=152

Step-by-step explanation:

Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.

Answer:

I think It is 20%

Step-by-step explanation:

because how you spin on the ground how it rises from down to the top

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

for such more questions on matrix

https://brainly.com/question/1279486

#SPJ8

Answer:

15,813

Step-by-step explanation:

Answer:

the answer for just eliminate the variables and to the solving tho get the answer as they get the answer to the number above

Answer:

A) 40

Step-by-step explanation:

exterior angle = 130 °

angles on a straight line add up to 180°

180 - 130 = 50

right angle = 90°

50 + 90 = 140

180 degrees in a triangle

180 - 140 = 40°

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10   (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10   (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x  - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

B)

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x  - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

C)

The transformations are:

g(x) = f(x) + 16

or

g(x) = f(x - (-8))

Answer:

acute triangle

Step-by-step explanation:

all angles are less than 90 degrees

hope this helps!! :D

Answer:

acute triangle

Step-by-step explanation:

in figure measures are less than 90° so acute triangle

If a null hypothesis is rejected at the 0.02 level of significance, it can also be rejected at the 0.08 level of significance.

The decision to reject or fail to reject a null hypothesis depends on the p-value obtained from the statistical test. If the p-value is less than or equal to the chosen level of significance, the null hypothesis is rejected. Therefore, if the null hypothesis is rejected at a more stringent significance level of 0.02, it implies that the p-value is even smaller than 0.02 and would also be smaller than 0.08. Consequently, the null hypothesis can be rejected at the 0.08 level of significance as well.

The significance level, often denoted as α (alpha), determines the threshold at which the null hypothesis is rejected. It represents the maximum probability of making a Type I error, which is rejecting the null hypothesis when it is true. For example, if we set the significance level at 0.05, it means we are willing to accept a 5% chance of making a Type I error.

When performing a statistical test, we calculate the p-value, which represents the probability of obtaining the observed data (or more extreme) under the assumption that the null hypothesis is true. If the p-value is smaller than or equal to the chosen significance level, we reject the null hypothesis in favor of the alternative hypothesis.

In this case, if the null hypothesis is rejected at the 0.02 level of significance, it means that the p-value obtained is less than or equal to 0.02. Since the p-value is even smaller than 0.08, it follows that the null hypothesis can also be rejected at the 0.08 level of significance. The reason is that if the evidence against the null hypothesis is strong enough to reject it at a more stringent level, it will also be strong enough to reject it at a less stringent level. Therefore, rejecting the null hypothesis at a lower level of significance implies rejection at a higher level as well.

To learn more about hypothesis click here: brainly.com/question/29576929

#SPJ11

Answer: The required product of two given algebraic expressions =15abc +10b²c²

Step-by-step explanation:

Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc

i.e. The required product = (3a+2bc)  x (5bc)

= 3a x 5bc + 2bc x 5bc    [Using right distributive property: (a+b)c= ac+bc]

= (3x 5)  abc + (2 x 5) (bc)²

= 15abc +10b²c²

Therefore, the required product of two given algebraic expressions = 15abc +10b²c²

The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

Learn more about interval notation here:

https://brainly.com/question/10878781

#SPJ4

Answer:

The triangle will look exactly the same, but the I and R points will be flipped. Since x=3 is the reflection line and x=3 is the center of the triangle,  the triangle itself is just reflected. Hope this helps!

Answer:

see explanation

Step-by-step explanation:

to find the intersection equate g(x) and h(x) , that is

(x + 7)(x - 5) = x - 5 ← expand left side using FOIL

x² + 2x - 35 = x - 5 ( subtract x - 5 from both sides )

x² + x - 30 = 0 ← in standard quadratic form

(x + 6)(x - 5) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 5 = 0 ⇒ x = 5

substitute these values into either g(x) or h(x) for corresponding values of y

substituting into h(x)

h(- 6) = - 6 - 5 = - 11 ⇒ (- 6, - 11 )

h(5) = 5 - 5 = 0 ⇒ (5, 0 )

The sum of two vectors, F and G, can be found by adding their horizontal and vertical components separately.

Given:

Vector F: Magnitude = 50 lb, Angle = 55°

Vector G: Magnitude = 60 lb, Angle = 310°

Step 1: Convert the angles to their equivalent angles in the range of 0° to 360°.

Angle of F = 55°

Angle of G = 310° - 360° = -50°

Step 2: Calculate the horizontal and vertical components of each vector.

For vector F:

Horizontal component of F = 50 lb * cos(55°)

Vertical component of F = 50 lb * sin(55°)

For vector G:

Horizontal component of G = 60 lb * cos(-50°)

Vertical component of G = 60 lb * sin(-50°)

Step 3: Add the corresponding components to find the resultant vector.

Horizontal component of the resultant vector = Horizontal component of F + Horizontal component of G

Vertical component of the resultant vector = Vertical component of F + Vertical component of G

Step 4: Calculate the magnitude and angle of the resultant vector.

Magnitude of the resultant vector = √(Horizontal component^2 + Vertical component^2)

Angle of the resultant vector = arctan(Vertical component / Horizontal component)

Using these formulas, we can calculate the magnitude and angle of the resultant vector.

To learn more about vectors  Click Here: brainly.com/question/24256726

#SPJ11

The required vertex form of the given equation is given as f(x) = 3(x - 4)² - 45.

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

The given quadratic function is g(x) = 3x² - 24x + 3.

The general form of the vertex form is given as,

f(x) = a(x - h)² + k

Where (h, k) is the coordinate of the vertex.

Now, the given equation can be written as,

3x² - 24x + 3

⇒ 3(x² - 8x + 1)

⇒ 3(x - 4)² - 45

Hence, the vertex form of this quadratic function from its standard form can be obtained as  3(x - 4)² - 45.

To know more about quadratic equation click on,

https://brainly.com/question/17177510

#SPJ1

Answer:

A number line with a closed circle on 25, with shading to the right.

Explanation:

A closed circle means "greater than or equal to" or "less than or equal to".

A open circle means "less than" or "greater than"

Therefore, since the question says: "who are at least 25 years old", a closed circle is the correct answer.

And says it says "at least 25 years old" it means that it shaded to the right, and that the circle is on the number 25.

Answer:

A number line with a closed circle on 25, with shading to the right.

Step-by-step explanation:

...

Answer:

yes..................................

Answer:

......hyhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

17

Step-by-step explanation:

because 19 students for the other in total (you add the ones who study biology and the ones who study both, then you minus the group of students by 19)

Answer:

21

Step-by-step explanation:

this is really easy so what you do is

you know 13 study bio and NOT art

we also know 2 student study neither subject

so lets just do 36-15

which is 21, this 21 does include the 6 that study both and the rest we can safely assume study art

Answer:

OPTION A.

Step-by-step explanation:

Put in simple terms

You're asked to Make "h" the subject.

p=0.7(rh + b)

divide through by 0.7

p/0.7 = rh + b

Rearranging

rh + b = p/0.7

rh = p/0.7 – b

divide through by "r"

h = (p/0.7 – b)÷ r.

Option A is your answer.

Notice that they look similar but you gotta see the difference.

The parenthesis covers all that's being divided by r

Single Sampling Plan: AQL = 0, LTPD = 3.41, AOQ = 1.79 Double Sampling Plan: AQL = 0, LTPD = 2.72, AOQ = 1.48

The values for the ASN (Average Sample Number) curves for the given single sampling plan and double sampling plan are:

Single Sampling Plan (n=80, c=3):

ASN curve values: AQL = 0, LTPD = 3.41, AOQ = 1.79

Double Sampling Plan (n1=50, c1=1, r1=4, n2=50, c2=4, r2):

ASN curve values: AQL = 0, LTPD = 2.72, AOQ = 1.48

The ASN curves provide information about the performance of a sampling plan by plotting the average sample number (ASN) against various acceptance quality levels (AQL). The AQL represents the maximum acceptable defect rate, while the LTPD (Lot Tolerance Percent Defective) represents the maximum defect rate that the consumer is willing to tolerate.

For the single sampling plan, the values n=80 (sample size) and c=3 (acceptance number) are used to calculate the ASN curve. The AQL is 0, meaning no defects are allowed, while the LTPD is 3.41. The Average Outgoing Quality (AOQ) is 1.79, representing the average quality level of outgoing lots.

For the equally effective double sampling plan, the values n1=50, c1=1, r1=4, n2=50, c2=4, and r2 are used. The AQL and LTPD values are the same as in the single sampling plan. The AOQ is 1.48, indicating the average quality level of outgoing lots in this double sampling plan.

These ASN curve values provide insights into the expected performance of the sampling plans in terms of lot acceptance and outgoing quality.

To learn more about average  click here

brainly.com/question/30873037

#SPJ11

Answer:

Commutative property

Step-by-step explanation:

a commutative property states that if the position of integers are moved around or interchanged while performing addition or multiplication operations, then the answer remains the same.

For example:-

14 + 20 = 34

20 + 14 = 34

Hence proved.

Hope this helps.

The function can be factored as

We see now that the function vanishes to zero when x = 9 or x = -7 which are the zeros of the function.